Thomas Nashed IE 416, HW3, Problem 2 Page 111:Parisay’s comments are in red. Formulation from HW#2: Let JAN1 = Number of computers rented at beginning of JAN for one monthJAN2 = Number of computers rented at beginning of JAN for two monthsJAN3 = Number of computers rented at beginning of JAN for three monthsSimilarly for FEB and …..JUNAlso define IJAN = Number of computers available to meet January demand Similarly for FEB and …..JUNmin z = 200(JAN1 + FEB1 + MAR1 + APR1 + MAY1 + JUNE1) + 350(JAN2 + FEB2 + MAR2 + APR2 + MAY2) + (350/2)*JUN2 + 450(JAN3+FEB3+MAR3+APR3) + (450*2/3)*MAY3 + (450*1/3)*JUN3s.t. IJAN = JAN1 + JAN2 + JAN3 IFEB = JAN2 + JAN3 + FEB1 + FEB2 + FEB3 IMAR = JAN3 + FEB2 + FEB3 + MAR1 + MAR2 + MAR3 IAPR = FEB3 + MAR2 + MAR3 + APR1 + APR2 + APR3 IMAY = MAR3 + APR2 + APR3 + MAY1 + MAY2 + MAY3 IJUN = APR3 + MAY2 + MAY3 + JUN1 + JUN2 + JUN3 IJAN9 IFEB5 IMAR7 IAPR9 IMAY10 IJUN5 All variables 0Notice I defined variables “IJAN, IFEB, …..” just to help you to understand formulation. In fact we do not need them and can reduce number of variable from 24 to 18! Try new formulation for your practice.WinQSB Input:12WinQSB Output:Dear Manager, After much research, it is my recommendation that you should rent 9 computers in January, 4 for 1 month, 3 for 2 months, and 2 for 3 months. Then in March you shouldrent 5 more computers for 3 month terms, then another 4 in April for 3 month terms, then 1 more for a 3 month term in may. This will minimize your cost, and you should expect to only pay $7100.00 for all these rentals. This renting plan will make sure to have the required number of computers for each month. It is better to create the following summary table of solution for better communication.3Month Rental planJan 4 rental for one month3 rentals for two months2 rentals for three monthsMar 5 rentals for three monthsApril 4 rentals for three monthsMay 1 rental for three